The family of a missing, 13-year-old Long Island girl fears she was lured to Brooklyn by a man she met on a telephone chat line, police said yesterday.

Nassau County and NYPD cops are searching for Tara Penna of Oceanside, who last Sunday got into a cab sent to her home when her father was at church.

The cabby told police he dropped the troubled teen at Logan Street and Atlantic Avenue in East New York, where a man who called himself Carlos met her and paid her $45 fare.

Penna has emotional problems and needs medication, said her father, Anthony Penna, a school-bus driver and sanitation worker who fears his daughter may have been enticed into prostitution.

He issued an emotional appeal to his missing child:

“Please, please call or come home. Let me know you’re OK.”

He insists that “the police are treating it as a runaway, but this is an abduction.”

“She was lured,” he added. “I definitely feel she’s being held against her will. They’re not letting her use the phone.”

He said his daughter needs medication for “mood swings” and might have suicidal tendencies.

Penna said his daughter met “Carlos” on a chat line, and the adult discussed “perverted sex” with the underage girl. Penna said his son Tony, 16, recently caught his sister on the phone with the man and picked up the line.

The missing teen is 5-foot-6, 120 pounds and has brown eyes and brown hair. She was wearing dark jeans and a light-colored pullover shirt.

“Carlos” was described by police as about 30 years old, 5-foot-8-inches tall and weighing about 180 pounds.